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Finding the Fourth Proportional to 24,358.96, 36,539.64 and 6,830.56

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Solution

The fourth proportional to 24,358.96, 36,539.64 and 6,830.56 is: 10,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,358.96 : 36,539.64 = 6,830.56 : x
  2. Step 2: Convert to fraction form
    24,358.96/36,539.64 = 6,830.56/x
  3. Step 3: Cross multiply
    24,358.96x = 36,539.64 × 6,830.56
  4. Step 4: Simplify right side
    24,358.96x = 249,586,203.40
  5. Step 5: Solve for x
    x = 249,586,203.40/24,358.96
  6. Step 6: Final answer
    x = 10,246.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.